{
  "id": "math/0406259",
  "version": "v2",
  "published": "2004-06-13T21:52:28.000Z",
  "updated": "2004-10-18T14:25:19.000Z",
  "title": "Infinite determinacy on a closed set for smooth germs with non-isolated singularities",
  "authors": [
    "Vincent Thilliez"
  ],
  "comment": "9 pages, AMS-LaTeX - cosmetic changes",
  "journal": "Proc. Amer. Math. Soc. 134 (2006), 1527-1536",
  "categories": [
    "math.CA"
  ],
  "abstract": "We give necessary and sufficient conditions of infinite determinacy for smooth function germs whose critical locus contains a given set. This set is assumed to be the zero variety X of some analytic map germ having maximal rank on a dense subset of X. We obtain a result in terms of Lojasiewicz estimates which extends, in particular, previous works by Sun & Wilson on line singularities, and by Grandjean on singularities of codimension 1 or 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-10-18T14:25:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58K40"
    ],
    "keywords": [
      "infinite determinacy",
      "smooth germs",
      "non-isolated singularities",
      "closed set",
      "smooth function germs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6259T"
    }
  }
}